LCM of 218, 820, 572, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 820, 572, 420 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 218, 820, 572, 420. So, keep reading to learn more.
Given numbers are 218,820,572,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,820,572,420 is 268408140.
Find LCM of 218,820,572,420 with Prime Factorization
| 2 | 218, 820, 572, 420 |
| 2 | 109, 410, 286, 210 |
| 5 | 109, 205, 143, 105 |
| 109, 41, 143, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 109 x 41 x 143 x 21 = 268408140
Therefore, the lowest common multiple of 218,820,572,420 is 268408140.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
218 x 820 x 572 x 420 = 42945302400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
218 : 1, 2, 109, 218
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,820,572,420, is 2.
Now, the common factors can be found like this.
218:2x 109
820:2x 2x 5x 41
572:2x 2x 11x 13
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5 = 80
Therefore, the value for common factors is 80.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 42945302400/(2x80)
LCM = 42945302400/160
LCM = 268408140
Thus, we can understand that the LCM of 218,820,572,420 is 268408140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 820, 572, 420
1. What is the LCM of 218, 820, 572, 420?
Answer: LCM of 218, 820, 572, 420 is 268408140.
2. How to calculate the LCM of 218, 820, 572, 420?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 218, 820, 572, 420.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.